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Finding the Third Proportional to 450,069 and 1,062,431

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Solution

The third proportional to 450,069 and 1,062,431 is: 2,507,970.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,069 : 1,062,431 = 1,062,431 : x
  2. Step 2: Convert to fraction form
    450,069/1,062,431 = 1,062,431/x
  3. Step 3: Cross multiply
    450,069x = 1,062,431 × 1,062,431
  4. Step 4: Simplify right side
    450,069x = 1,128,759,629,761
  5. Step 5: Solve for x
    x = 1,128,759,629,761/450,069
  6. Step 6: Final answer
    x = 2,507,970.18

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.